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Using only matched subjects with ≥3 eGFRcreat measurements (N = 155) we estimated individual slopes for eGFRcreat in a linear regression model, by regressing eGFRcreat against year for each individual.

We developed a multi-response MIR PLSR prediction model by regressing corresponding NMR and MIR spectra of 99 HF-treated < 50 μm fractions of soils using the pls package.

We developed a multivariable prediction model by regressing all of the aforementioned clinical and radiographic variables on the log odds of a positive mycobacterial culture.

We constructed our first-order model by regressing the ΔGdissociation of each genotype on dependent variables that reflect the individual first-order identities at each genetic position.

However, to avoid any additional bias due to possibly remaining dependence of siHSP on allele frequency, siHSP was fit in a linear model by regressing the SNP minor allele frequency (MAFi) at the core site on siHSP.

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We also evaluated the performance of the models by regressing their AGBm against AGBp.

In the first stage, the selection process is modeled by regressing the actual school entry age on a so-called instrument, which in this case is when the child starts school according to the cutoff date.

Using the energy-adjusted dairy variables and alcohol on its original continuous scale, we constructed multivariate calibration models by regressing the individual means of the recall values of the dairy variables and alcohol on the questionnaire values.

Other studies constructed statistical models by regressing home outdoor nitrogen oxides or NO2 measurements against traffic characteristics (Carr et al. 2002) or local geographic characteristics related to traffic (Brauer et al. 2006; Hochadel et al. 2006; Hoek et al. 2002) for estimating individual residential outdoor concentrations.

Operationally, we estimated all the model parameters by regressing the outcomes on the predictors for the entire sample.

The mixed model obtained by regressing observations against the CMAQv5.0 results are shown in Table  2.

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